17949902880 has 768 divisors, whose sum is σ = 76960751616. Its totient is φ = 3406233600.

The previous prime is 17949902849. The next prime is 17949902881. The reversal of 17949902880 is 8820994971.

It is a self number, because there is not a number n which added to its sum of digits gives 17949902880.

It is not an unprimeable number, because it can be changed into a prime (17949902881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17078355 + ... + 17079405.

It is an arithmetic number, because the mean of its divisors is an integer number (100209312).

Almost surely, 2^17949902880 is an apocalyptic number.

17949902880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17949902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38480375808).

17949902880 is an abundant number, since it is smaller than the sum of its proper divisors (59010848736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

17949902880 is a wasteful number, since it uses less digits than its factorization.

17949902880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 17949902880 in words is "seventeen billion, nine hundred forty-nine million, nine hundred two thousand, eight hundred eighty".